Add 49/8 and 9/27, Solve 6 1/8 + 9/27 as a fraction

Add 49/8 and 9/27

1^st number: 6 1/8, 2^nd number: 9/27

49/8 + 9/27 is 155/24.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 8 × 27 = 216,
49/8 = 49 × 27/8 × 27 = 1323/216
Likewise, for the 2nd fraction, since 27 × 8 = 216,
9/27 = 9 × 8/27 × 8 = 72/216
Add the two like fractions:
1323/216 + 72/216 = 1323 + 72/216 = 1395/216
1395/216 simplified gives 155/24
So, 49/8 + 9/27 = 155/24
In mixed form: 611/24

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad